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Entropy penalization methods for Hamilton–Jacobi equations

✍ Scribed by Diogo A. Gomes; Enrico Valdinoci


Book ID
108051553
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
396 KB
Volume
215
Category
Article
ISSN
0001-8708

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✍ Kenneth Hvistendahl Karlsen; Nils Henrik Risebro 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 450 KB

We present new numerical methods for constructing approximate solutions to the Cauchy problem for Hamilton-Jacobi equations of the form u t + H (D x u) = 0. The methods are based on dimensional splitting and front tracking for solving the associated (non-strictly hyperbolic) system of conservation l